101011102000201 has 32 divisors (see below), whose sum is σ = 107855519735808. Its totient is φ = 94379273419200.

The previous prime is 101011102000163. The next prime is 101011102000213. The reversal of 101011102000201 is 102000201110101.

It is not a de Polignac number, because 101011102000201 - 2²⁵ = 101011068445769 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101011102007201) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1150856820 + ... + 1150944586.

It is an arithmetic number, because the mean of its divisors is an integer number (3370484991744).

Almost surely, 2^{101011102000201} is an apocalyptic number.

It is an amenable number.

101011102000201 is a deficient number, since it is larger than the sum of its proper divisors (6844417735607).

101011102000201 is a wasteful number, since it uses less digits than its factorization.

101011102000201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89901.

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 101011102000201 its reverse (102000201110101), we get a palindrome (203011303110302).

The spelling of 101011102000201 in words is "one hundred one trillion, eleven billion, one hundred two million, two hundred one", and thus it is an aban number.